CAASPP Review: Solving Word Problems

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What is the process to solve a word problem involving a total after a series of transactions?

Back

1. Identify the initial quantity. 2. Determine the changes (additions or subtractions). 3. Set up an equation to represent the final quantity. 4. Solve for the unknown.

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How do you set up an equation for profit and cost in a business scenario?

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Profit = Revenue - Cost. If a company has fixed costs and variable costs per item, the equation can be set as: Total Cost = Fixed Costs + (Variable Cost per item * Number of items).

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What is a system of equations and how is it used in word problems?

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A system of equations is a set of two or more equations with the same variables. It is used to find the values of the variables that satisfy all equations simultaneously, often representing real-world scenarios.

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How do you express the relationship between two quantities in a word problem?

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Identify the variables representing each quantity, then express their relationship using equations or inequalities based on the problem's context.

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What is the formula for the perimeter of a rectangle?

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Perimeter (P) = 2(length + width).

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What is the formula for the area of a rectangle?

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Area (A) = length * width.

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How do you find the dimensions of a rectangle given its perimeter and area?

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1. Use the perimeter formula to express one dimension in terms of the other. 2. Substitute this expression into the area formula. 3. Solve the resulting equation for one dimension, then find the other.

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What does it mean for a number to be 'younger' or 'older' in age-related word problems?

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It indicates a relationship between ages, often expressed as an equation where one age is defined in terms of another.

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How do you solve quadratic equations that arise from word problems?

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1. Rearrange the equation to standard form (ax^2 + bx + c = 0). 2. Factor, complete the square, or use the quadratic formula to find the roots.

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What is the significance of the sum of a number and its square in a word problem?

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It often leads to a quadratic equation, which can be solved to find the number that satisfies the condition.